Generalized derivations with Engel condition on multilinear polynomials.
From MaRDI portal
Publication:836120
DOI10.1007/s11856-009-0052-7zbMath1183.16033OpenAlexW2080816573MaRDI QIDQ836120
Publication date: 31 August 2009
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11856-009-0052-7
Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25)
Related Items
An Engel condition with two generalized derivations on Lie ideals of prime rings ⋮ Vanishing Derivations and Centralizers of Generalized Derivations on Multilinear Polynomials ⋮ Some generalized identities on prime rings and their application for the solution of annihilating and centralizing problems ⋮ Generalized derivations with annihilating and centralizing Engel conditions on Lie ideals. ⋮ Generalized skew-derivations annihilating and centralizing on multilinear polynomials in prime rings ⋮ Additiven-commuting maps on semiprime rings ⋮ Generalized Lie derivations on skew elements of prime algebras with involution. ⋮ Derivations cocentralizing multilinear polynomials on left ideals. ⋮ Strong commutativity preserving generalized derivations on right ideals. ⋮ An Engel condition with generalized skew derivations on multilinear polynomials ⋮ Higher-order commutators with power central values on rings and algebras involving generalized derivations ⋮ An Engel condition with two generalized derivations in prime rings ⋮ A Characterization of Generalized Derivations on Prime Rings ⋮ A note on generalized derivations in Banach algebras ⋮ Generalized skew derivations cocentralizing multilinear polynomials ⋮ A note on generalized skew-derivations on multilinear polynomials in prime rings ⋮ Strong commutativity preserving generalized derivations on Lie ideals ⋮ Generalized Derivations with Engel Conditions on Polynomials ⋮ On semi(prime) rings and algebras with automorphisms and generalized derivations ⋮ Strong commutativity and Engel condition preserving maps in prime and semiprime rings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An Engel condition with generalized derivations on multilinear polynomials.
- On invariant additive subgroups
- The additive subgroup generated by a polynomial
- Differential identities of prime rings
- Nil polynomials of prime rings
- On the iterates of derivations of prime rings
- Prime rings satisfying a generalized polynomial identity
- IDENTITIES WITH GENERALIZED DERIVATIONS
- Derivations in Prime Rings
- Gpis Having Coefficients in Utumi Quotient Rings
- Nil and Power-Central Polynomials in Rings
- Generalized derivations of left faithful rings
- An Engel condition with derivation for left ideals
- Generalized derivations in rings*
- Derivations with Engel conditions on multilinear polynomials
- Sums of Distinct Divisors and Sums of Distinct Units